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P40 (15461...)^7-1

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Feb 12th, 2017
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  1. Sat Feb 11 00:06:49 2017 Msieve v. 1.53 (SVN unknown)
  2. Sat Feb 11 00:06:49 2017 random seeds: 349f7f9c 663b9621
  3. Sat Feb 11 00:06:49 2017 factoring 164787082373805891010164099384204059675572260566418457943265118779417650666432483854092171059474196799563482166998715071353116285433689354418929251872864892190386912217530197364004168689 (186 digits)
  4. Sat Feb 11 00:06:50 2017 searching for 15-digit factors
  5. Sat Feb 11 00:06:51 2017 commencing number field sieve (186-digit input)
  6. Sat Feb 11 00:06:51 2017 R0: 1546180993982253931724756630608282852337
  7. Sat Feb 11 00:06:51 2017 R1: -1
  8. Sat Feb 11 00:06:51 2017 A0: 1
  9. Sat Feb 11 00:06:51 2017 A1: 1
  10. Sat Feb 11 00:06:51 2017 A2: 1
  11. Sat Feb 11 00:06:51 2017 A3: 1
  12. Sat Feb 11 00:06:51 2017 A4: 1
  13. Sat Feb 11 00:06:51 2017 A5: 1
  14. Sat Feb 11 00:06:51 2017 A6: 1
  15. Sat Feb 11 00:06:51 2017 skew 1.00, size 1.236e-11, alpha 2.428, combined = 7.447e-13 rroots = 0
  16. Sat Feb 11 00:06:51 2017
  17. Sat Feb 11 00:06:51 2017 commencing relation filtering
  18. Sat Feb 11 00:06:51 2017 setting target matrix density to 128.0
  19. Sat Feb 11 00:06:51 2017 estimated available RAM is 16007.4 MB
  20. Sat Feb 11 00:06:51 2017 commencing duplicate removal, pass 1
  21. Sat Feb 11 00:20:50 2017 error -15 reading relation 123001395
  22. Sat Feb 11 00:30:10 2017 skipped 36 relations with b > 2^32
  23. Sat Feb 11 00:30:10 2017 found 9041267 hash collisions in 203257715 relations
  24. Sat Feb 11 00:30:10 2017 commencing duplicate removal, pass 2
  25. Sat Feb 11 00:32:16 2017 found 0 duplicates and 203257715 unique relations
  26. Sat Feb 11 00:32:16 2017 memory use: 522.4 MB
  27. Sat Feb 11 00:32:16 2017 reading ideals above 119865344
  28. Sat Feb 11 00:32:16 2017 commencing singleton removal, initial pass
  29. Sat Feb 11 00:50:04 2017 memory use: 3012.0 MB
  30. Sat Feb 11 00:50:04 2017 reading all ideals from disk
  31. Sat Feb 11 00:50:26 2017 memory use: 3433.4 MB
  32. Sat Feb 11 00:50:32 2017 commencing in-memory singleton removal
  33. Sat Feb 11 00:50:38 2017 begin with 203257715 relations and 160446417 unique ideals
  34. Sat Feb 11 00:51:49 2017 reduce to 136245942 relations and 86800188 ideals in 13 passes
  35. Sat Feb 11 00:51:49 2017 max relations containing the same ideal: 52
  36. Sat Feb 11 00:51:55 2017 reading ideals above 720000
  37. Sat Feb 11 00:51:55 2017 commencing singleton removal, initial pass
  38. Sat Feb 11 01:07:44 2017 memory use: 2756.0 MB
  39. Sat Feb 11 01:07:44 2017 reading all ideals from disk
  40. Sat Feb 11 01:08:22 2017 memory use: 5197.2 MB
  41. Sat Feb 11 01:08:34 2017 keeping 99758609 ideals with weight <= 200, target excess is 709076
  42. Sat Feb 11 01:08:48 2017 commencing in-memory singleton removal
  43. Sat Feb 11 01:08:57 2017 begin with 136245942 relations and 99758609 unique ideals
  44. Sat Feb 11 01:09:39 2017 reduce to 136245797 relations and 99758464 ideals in 4 passes
  45. Sat Feb 11 01:09:39 2017 max relations containing the same ideal: 200
  46. Sat Feb 11 01:10:30 2017 removing 9802865 relations and 7802865 ideals in 2000000 cliques
  47. Sat Feb 11 01:10:33 2017 commencing in-memory singleton removal
  48. Sat Feb 11 01:10:42 2017 begin with 126442932 relations and 99758464 unique ideals
  49. Sat Feb 11 01:12:11 2017 reduce to 125913393 relations and 91416049 ideals in 9 passes
  50. Sat Feb 11 01:12:11 2017 max relations containing the same ideal: 197
  51. Sat Feb 11 01:12:57 2017 removing 7452476 relations and 5452476 ideals in 2000000 cliques
  52. Sat Feb 11 01:13:00 2017 commencing in-memory singleton removal
  53. Sat Feb 11 01:13:07 2017 begin with 118460917 relations and 91416049 unique ideals
  54. Sat Feb 11 01:14:05 2017 reduce to 118108953 relations and 85605885 ideals in 7 passes
  55. Sat Feb 11 01:14:05 2017 max relations containing the same ideal: 191
  56. Sat Feb 11 01:14:46 2017 removing 6786018 relations and 4786018 ideals in 2000000 cliques
  57. Sat Feb 11 01:14:49 2017 commencing in-memory singleton removal
  58. Sat Feb 11 01:14:55 2017 begin with 111322935 relations and 85605885 unique ideals
  59. Sat Feb 11 01:15:50 2017 reduce to 111021471 relations and 80513300 ideals in 7 passes
  60. Sat Feb 11 01:15:50 2017 max relations containing the same ideal: 185
  61. Sat Feb 11 01:16:28 2017 removing 6434522 relations and 4434522 ideals in 2000000 cliques
  62. Sat Feb 11 01:16:31 2017 commencing in-memory singleton removal
  63. Sat Feb 11 01:16:38 2017 begin with 104586949 relations and 80513300 unique ideals
  64. Sat Feb 11 01:17:28 2017 reduce to 104310265 relations and 75797279 ideals in 7 passes
  65. Sat Feb 11 01:17:28 2017 max relations containing the same ideal: 177
  66. Sat Feb 11 01:18:05 2017 removing 6203182 relations and 4203182 ideals in 2000000 cliques
  67. Sat Feb 11 01:18:08 2017 commencing in-memory singleton removal
  68. Sat Feb 11 01:18:14 2017 begin with 98107083 relations and 75797279 unique ideals
  69. Sat Feb 11 01:18:54 2017 reduce to 97844136 relations and 71326340 ideals in 6 passes
  70. Sat Feb 11 01:18:54 2017 max relations containing the same ideal: 175
  71. Sat Feb 11 01:19:29 2017 removing 6039640 relations and 4039640 ideals in 2000000 cliques
  72. Sat Feb 11 01:19:31 2017 commencing in-memory singleton removal
  73. Sat Feb 11 01:19:37 2017 begin with 91804496 relations and 71326340 unique ideals
  74. Sat Feb 11 01:20:15 2017 reduce to 91546045 relations and 67023271 ideals in 6 passes
  75. Sat Feb 11 01:20:15 2017 max relations containing the same ideal: 171
  76. Sat Feb 11 01:20:47 2017 removing 5913813 relations and 3913813 ideals in 2000000 cliques
  77. Sat Feb 11 01:20:50 2017 commencing in-memory singleton removal
  78. Sat Feb 11 01:20:55 2017 begin with 85632232 relations and 67023271 unique ideals
  79. Sat Feb 11 01:21:30 2017 reduce to 85375061 relations and 62847137 ideals in 6 passes
  80. Sat Feb 11 01:21:30 2017 max relations containing the same ideal: 161
  81. Sat Feb 11 01:22:00 2017 removing 5819897 relations and 3819897 ideals in 2000000 cliques
  82. Sat Feb 11 01:22:02 2017 commencing in-memory singleton removal
  83. Sat Feb 11 01:22:07 2017 begin with 79555164 relations and 62847137 unique ideals
  84. Sat Feb 11 01:22:39 2017 reduce to 79297635 relations and 58764015 ideals in 6 passes
  85. Sat Feb 11 01:22:39 2017 max relations containing the same ideal: 151
  86. Sat Feb 11 01:23:07 2017 removing 5742952 relations and 3742952 ideals in 2000000 cliques
  87. Sat Feb 11 01:23:09 2017 commencing in-memory singleton removal
  88. Sat Feb 11 01:23:14 2017 begin with 73554683 relations and 58764015 unique ideals
  89. Sat Feb 11 01:23:43 2017 reduce to 73291139 relations and 54751399 ideals in 6 passes
  90. Sat Feb 11 01:23:43 2017 max relations containing the same ideal: 143
  91. Sat Feb 11 01:24:09 2017 removing 5686171 relations and 3686171 ideals in 2000000 cliques
  92. Sat Feb 11 01:24:12 2017 commencing in-memory singleton removal
  93. Sat Feb 11 01:24:15 2017 begin with 67604968 relations and 54751399 unique ideals
  94. Sat Feb 11 01:24:42 2017 reduce to 67333374 relations and 50786934 ideals in 6 passes
  95. Sat Feb 11 01:24:42 2017 max relations containing the same ideal: 133
  96. Sat Feb 11 01:25:06 2017 removing 5633262 relations and 3633262 ideals in 2000000 cliques
  97. Sat Feb 11 01:25:08 2017 commencing in-memory singleton removal
  98. Sat Feb 11 01:25:12 2017 begin with 61700112 relations and 50786934 unique ideals
  99. Sat Feb 11 01:25:36 2017 reduce to 61417749 relations and 46863759 ideals in 6 passes
  100. Sat Feb 11 01:25:36 2017 max relations containing the same ideal: 126
  101. Sat Feb 11 01:25:58 2017 removing 5594360 relations and 3594360 ideals in 2000000 cliques
  102. Sat Feb 11 01:26:00 2017 commencing in-memory singleton removal
  103. Sat Feb 11 01:26:04 2017 begin with 55823389 relations and 46863759 unique ideals
  104. Sat Feb 11 01:26:29 2017 reduce to 55526723 relations and 42963991 ideals in 7 passes
  105. Sat Feb 11 01:26:29 2017 max relations containing the same ideal: 119
  106. Sat Feb 11 01:26:49 2017 removing 5563548 relations and 3563548 ideals in 2000000 cliques
  107. Sat Feb 11 01:26:51 2017 commencing in-memory singleton removal
  108. Sat Feb 11 01:26:54 2017 begin with 49963175 relations and 42963991 unique ideals
  109. Sat Feb 11 01:27:13 2017 reduce to 49647726 relations and 39074975 ideals in 6 passes
  110. Sat Feb 11 01:27:13 2017 max relations containing the same ideal: 107
  111. Sat Feb 11 01:27:31 2017 removing 5536373 relations and 3536373 ideals in 2000000 cliques
  112. Sat Feb 11 01:27:33 2017 commencing in-memory singleton removal
  113. Sat Feb 11 01:27:36 2017 begin with 44111353 relations and 39074975 unique ideals
  114. Sat Feb 11 01:27:52 2017 reduce to 43772033 relations and 35187549 ideals in 6 passes
  115. Sat Feb 11 01:27:52 2017 max relations containing the same ideal: 99
  116. Sat Feb 11 01:28:08 2017 removing 5511737 relations and 3511737 ideals in 2000000 cliques
  117. Sat Feb 11 01:28:10 2017 commencing in-memory singleton removal
  118. Sat Feb 11 01:28:12 2017 begin with 38260296 relations and 35187549 unique ideals
  119. Sat Feb 11 01:28:26 2017 reduce to 37888725 relations and 31289782 ideals in 6 passes
  120. Sat Feb 11 01:28:26 2017 max relations containing the same ideal: 90
  121. Sat Feb 11 01:28:40 2017 removing 5488433 relations and 3488433 ideals in 2000000 cliques
  122. Sat Feb 11 01:28:41 2017 commencing in-memory singleton removal
  123. Sat Feb 11 01:28:43 2017 begin with 32400292 relations and 31289782 unique ideals
  124. Sat Feb 11 01:28:57 2017 reduce to 31982304 relations and 27364864 ideals in 7 passes
  125. Sat Feb 11 01:28:57 2017 max relations containing the same ideal: 79
  126. Sat Feb 11 01:29:09 2017 removing 5459977 relations and 3459977 ideals in 2000000 cliques
  127. Sat Feb 11 01:29:10 2017 commencing in-memory singleton removal
  128. Sat Feb 11 01:29:12 2017 begin with 26522327 relations and 27364864 unique ideals
  129. Sat Feb 11 01:29:23 2017 reduce to 26030008 relations and 23387273 ideals in 7 passes
  130. Sat Feb 11 01:29:23 2017 max relations containing the same ideal: 68
  131. Sat Feb 11 01:29:32 2017 removing 5027314 relations and 3207108 ideals in 1820206 cliques
  132. Sat Feb 11 01:29:34 2017 commencing in-memory singleton removal
  133. Sat Feb 11 01:29:35 2017 begin with 21002694 relations and 23387273 unique ideals
  134. Sat Feb 11 01:29:44 2017 reduce to 20441615 relations and 19586213 ideals in 8 passes
  135. Sat Feb 11 01:29:44 2017 max relations containing the same ideal: 60
  136. Sat Feb 11 01:29:52 2017 removing 179152 relations and 146279 ideals in 32873 cliques
  137. Sat Feb 11 01:29:52 2017 commencing in-memory singleton removal
  138. Sat Feb 11 01:29:53 2017 begin with 20262463 relations and 19586213 unique ideals
  139. Sat Feb 11 01:29:59 2017 reduce to 20261030 relations and 19438496 ideals in 5 passes
  140. Sat Feb 11 01:29:59 2017 max relations containing the same ideal: 59
  141. Sat Feb 11 01:30:02 2017 relations with 0 large ideals: 52890
  142. Sat Feb 11 01:30:02 2017 relations with 1 large ideals: 22480
  143. Sat Feb 11 01:30:02 2017 relations with 2 large ideals: 222325
  144. Sat Feb 11 01:30:02 2017 relations with 3 large ideals: 1165878
  145. Sat Feb 11 01:30:02 2017 relations with 4 large ideals: 3213772
  146. Sat Feb 11 01:30:02 2017 relations with 5 large ideals: 5155437
  147. Sat Feb 11 01:30:02 2017 relations with 6 large ideals: 5085023
  148. Sat Feb 11 01:30:02 2017 relations with 7+ large ideals: 5343225
  149. Sat Feb 11 01:30:02 2017 commencing 2-way merge
  150. Sat Feb 11 01:30:11 2017 reduce to 13969996 relation sets and 13147462 unique ideals
  151. Sat Feb 11 01:30:11 2017 commencing full merge
  152. Sat Feb 11 01:34:52 2017 memory use: 1743.9 MB
  153. Sat Feb 11 01:34:54 2017 found 6087342 cycles, need 6083662
  154. Sat Feb 11 01:34:55 2017 weight of 6083662 cycles is about 779469402 (128.13/cycle)
  155. Sat Feb 11 01:34:55 2017 distribution of cycle lengths:
  156. Sat Feb 11 01:34:55 2017 1 relations: 158827
  157. Sat Feb 11 01:34:55 2017 2 relations: 253979
  158. Sat Feb 11 01:34:55 2017 3 relations: 340139
  159. Sat Feb 11 01:34:55 2017 4 relations: 385010
  160. Sat Feb 11 01:34:55 2017 5 relations: 418564
  161. Sat Feb 11 01:34:55 2017 6 relations: 435047
  162. Sat Feb 11 01:34:55 2017 7 relations: 439085
  163. Sat Feb 11 01:34:55 2017 8 relations: 428111
  164. Sat Feb 11 01:34:55 2017 9 relations: 408623
  165. Sat Feb 11 01:34:55 2017 10+ relations: 2816277
  166. Sat Feb 11 01:34:55 2017 heaviest cycle: 28 relations
  167. Sat Feb 11 01:34:56 2017 commencing cycle optimization
  168. Sat Feb 11 01:35:07 2017 start with 60267971 relations
  169. Sat Feb 11 01:37:19 2017 pruned 3430879 relations
  170. Sat Feb 11 01:37:19 2017 memory use: 1459.1 MB
  171. Sat Feb 11 01:37:19 2017 distribution of cycle lengths:
  172. Sat Feb 11 01:37:19 2017 1 relations: 158827
  173. Sat Feb 11 01:37:19 2017 2 relations: 260583
  174. Sat Feb 11 01:37:19 2017 3 relations: 355124
  175. Sat Feb 11 01:37:19 2017 4 relations: 403607
  176. Sat Feb 11 01:37:19 2017 5 relations: 444576
  177. Sat Feb 11 01:37:19 2017 6 relations: 463570
  178. Sat Feb 11 01:37:19 2017 7 relations: 470215
  179. Sat Feb 11 01:37:19 2017 8 relations: 457264
  180. Sat Feb 11 01:37:19 2017 9 relations: 436068
  181. Sat Feb 11 01:37:19 2017 10+ relations: 2633828
  182. Sat Feb 11 01:37:19 2017 heaviest cycle: 28 relations
  183. Sat Feb 11 01:37:27 2017 RelProcTime: 5436
  184. Sat Feb 11 01:37:27 2017
  185. Sat Feb 11 01:37:27 2017 commencing linear algebra
  186. Sat Feb 11 01:37:29 2017 read 6083662 cycles
  187. Sat Feb 11 01:37:42 2017 cycles contain 19887010 unique relations
  188. Sat Feb 11 01:40:03 2017 read 19887010 relations
  189. Sat Feb 11 01:40:29 2017 using 20 quadratic characters above 4294917295
  190. Sat Feb 11 01:41:45 2017 building initial matrix
  191. Sat Feb 11 01:45:27 2017 memory use: 2515.7 MB
  192. Sat Feb 11 01:45:30 2017 read 6083662 cycles
  193. Sat Feb 11 01:45:30 2017 matrix is 6083485 x 6083662 (2989.1 MB) with weight 850264394 (139.76/col)
  194. Sat Feb 11 01:45:30 2017 sparse part has weight 716658049 (117.80/col)
  195. Sat Feb 11 01:46:41 2017 filtering completed in 2 passes
  196. Sat Feb 11 01:46:42 2017 matrix is 6083451 x 6083628 (2989.1 MB) with weight 850263348 (139.76/col)
  197. Sat Feb 11 01:46:42 2017 sparse part has weight 716657773 (117.80/col)
  198. Sat Feb 11 01:47:01 2017 matrix starts at (0, 0)
  199. Sat Feb 11 01:47:02 2017 matrix is 6083451 x 6083628 (2989.1 MB) with weight 850263348 (139.76/col)
  200. Sat Feb 11 01:47:02 2017 sparse part has weight 716657773 (117.80/col)
  201. Sat Feb 11 01:47:02 2017 saving the first 48 matrix rows for later
  202. Sat Feb 11 01:47:03 2017 matrix includes 64 packed rows
  203. Sat Feb 11 01:47:03 2017 matrix is 6083403 x 6083628 (2861.0 MB) with weight 738340605 (121.37/col)
  204. Sat Feb 11 01:47:03 2017 sparse part has weight 689149786 (113.28/col)
  205. Sat Feb 11 01:47:04 2017 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  206. Sat Feb 11 01:47:27 2017 commencing Lanczos iteration (4 threads)
  207. Sat Feb 11 01:47:27 2017 memory use: 2428.6 MB
  208. Sat Feb 11 01:47:53 2017 linear algebra at 0.0%, ETA 28h 2m
  209. Sat Feb 11 01:48:01 2017 checkpointing every 220000 dimensions
  210. Sun Feb 12 02:46:10 2017 lanczos halted after 96207 iterations (dim = 6083401)
  211. Sun Feb 12 02:46:20 2017 recovered 38 nontrivial dependencies
  212. Sun Feb 12 02:46:20 2017 BLanczosTime: 90533
  213. Sun Feb 12 02:46:20 2017
  214. Sun Feb 12 02:46:20 2017 commencing square root phase
  215. Sun Feb 12 02:46:20 2017 handling dependencies 1 to 64
  216. Sun Feb 12 02:46:20 2017 reading relations for dependency 1
  217. Sun Feb 12 02:46:23 2017 read 3041682 cycles
  218. Sun Feb 12 02:46:28 2017 cycles contain 9940166 unique relations
  219. Sun Feb 12 02:49:17 2017 read 9940166 relations
  220. Sun Feb 12 02:49:49 2017 multiplying 9940166 relations
  221. Sun Feb 12 02:55:30 2017 multiply complete, coefficients have about 245.16 million bits
  222. Sun Feb 12 02:55:32 2017 initial square root is modulo 627964741
  223. Sun Feb 12 03:01:53 2017 GCD is 1, no factor found
  224. Sun Feb 12 03:01:53 2017 reading relations for dependency 2
  225. Sun Feb 12 03:01:55 2017 read 3042583 cycles
  226. Sun Feb 12 03:02:01 2017 cycles contain 9943796 unique relations
  227. Sun Feb 12 03:04:08 2017 read 9943796 relations
  228. Sun Feb 12 03:04:43 2017 multiplying 9943796 relations
  229. Sun Feb 12 03:10:27 2017 multiply complete, coefficients have about 245.24 million bits
  230. Sun Feb 12 03:10:28 2017 initial square root is modulo 632578763
  231. Sun Feb 12 03:16:55 2017 sqrtTime: 1835
  232. Sun Feb 12 03:16:55 2017 p65 factor: 10005625842923582651161921912411177900788037436690433181132811923
  233. Sun Feb 12 03:16:55 2017 p122 factor: 16469442787564412242916425259141280339835292057450620679836631736778345903093559115176544022359791884081180567351147672043
  234. Sun Feb 12 03:16:55 2017 elapsed time 27:10:06
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